Alg. 2 1st Sem. Rev. Ch. 3 2020

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations that have the same variables.

Front

What does it mean for a solution to a system of equations?

Back

A solution to a system of equations is a set of values for the variables that makes all the equations true.

Front

What is the elimination method?

Back

The elimination method is a technique for solving systems of equations by eliminating one variable at a time.

Front

What is a linear inequality?

Back

A linear inequality is an inequality that involves a linear function, typically expressed in the form ax + by <, >, ≤, or ≥ c.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a boundary line, then shade the region that satisfies the inequality.

Front

What is the feasible region in linear programming?

Back

The feasible region is the set of all possible points that satisfy the constraints of a linear programming problem.

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What is an objective function in linear programming?

Back

An objective function is a mathematical expression that defines the goal of the optimization problem, typically to maximize or minimize a value.

Front

How do you find the maximum value of an objective function?

Back

To find the maximum value of an objective function, evaluate the function at the vertices of the feasible region.

Front

What does it mean for a point to be a vertex of the feasible region?

Back

A vertex of the feasible region is a corner point where two or more constraints intersect.

Front

What is the solution to the system: x + y + z = 4, x = -2y, z = -3y?

Back

The solution is (2, -1, 3).